Answer:
Adults (x) = 99 and
Seniors (y) = 393
393 seniors
Step-by-step explanation:
Adults= x
Seniors = y
1) x+ y = 492
2) 24x + 14y = 7,878
1) x = 492 - y
2) 24 (492 - y) + 14 y = 7,878 (substitution)
11808 - 24y + 14y = 7,878
11,808 - 10y = 7,878
11,808 - 7,878 = 10y
3,930/10 = y
y = 393
1) x + 393 = 492 (substitution)
x = 492 - 393
x = 99
A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.
How many cappuccinos were sold?
Number of sold cappuccinos will be 60.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
A coffee shop sells lattes for $4 and cappuccinos for $3.
Last Friday, they sold 78 drinks for a total of $252.
Now,
Let number of lattes = x
Number of cappuccinos = y
Since, Last Friday, they sold 78 drinks.
So, we can formulate;
x + y = 78 ... (i)
And, Last Friday, they sold 78 drinks for a total of $252.
So, we can formulate;
4x + 3y = 252 ... (ii)
Solve equation (i) and (ii) we get;
x + y = 78
4x + 3y = 252
Multiply by 4 in equation (i) and subtract from (ii) we get;
4x + 3y - 4x - 4y = 252 - 312
- y = - 60
y = 60
And, x + y = 78
x + 60 = 78
x = 18
Thus, Number of sold cappuccinos will be 60.
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Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer:
264
Step-by-step explanation:
to find one hour
110÷5=22 per hour
12×22=264
Answer: Lamar would make $264 in 12 hours of work.
First we would try to find how much he would make in an hour, so technically the unit rate.
TO find the unit rate we have to do 110/5 which is equal to $22
Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO, 12 times 22 is 264.
Step-by-step explanation:
I hope this helps, if you are having a tough time with math you can use:
khan academy
math nation
and many more free sites!
Shyla Cuts 6 strips of ribbon to make her hair bows when she is done she realizes that each strip is 1/8 too short how does the total length of strips compared to what their total length should have been?
A, b, c or d?????? Pls help quick
Answer:
The answer is a
Step-by-step explanation:
have a nice day :)
Complete the equation so that it has
infinitely many solutions.
48 - 2) = (2x -
a. 2300ml=_____l b. 9400ml=_____l c. 9l=________ml d. .7l=_______ml e. 9.7l=_____ml
f. 670ml=_______l g.217ml=_______l h. 1200ml=______l
Answer:
a) 2300 ml = 2.3 l
b) 9400 ml = 9.4 l
c) 9 l = 9000 ml
d) 7 l = 7000 ml
e) 9.7 l = 9700 ml
f) 670 ml = 0.67 l
g) 217 ml = 0.217 l
h) 1200 ml = 1.2 l
Step-by-step explanation:
For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.
Expand the following
Answer:
a) 4x+4
b) 7x-14
c) 12x +18
d) 10x-10y
Answer:
4x+4
7x-14
12x+18
10x-10y
Step-by-step explanation:
Multiply. 3 1/3 1 3/4 Express your answer in simplest form. 5 5/12 5 5/6 6 5/6 6 5/12
Answer:
[tex]5\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{3}*1\frac{3}{4}[/tex]
[tex]\frac{10}{3} *\frac{7}{4} \\[/tex]
[tex]\frac{10*7}{3*4}[/tex]
[tex]\frac{70}{12}[/tex]
First you can divide both sides by 2
[tex]\frac{70}{12}=\frac{35}{6}[/tex]
Now make it as a mix number
[tex]\frac{35}{6} =5\frac{5}{6}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
help pls?? answer for me??f
ANSWER
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PLS HELP DUE IN 1 HOUR
write the expression using positive exponents
1/3^-5
Explanation:
The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]
That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.
So,
[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]
Find the measures of the following angles
Answer:
HGD: 117
FDG: 180
Step-by-step explanation:
Answer:
<HDG = 117 degrees
<FDG = 63 degrees
Step-by-step explanation:
Its a straight line
These are supplementary angles
If its a striaght line its 180 degrees.
We already know theres a 63 degrees so we jsut gotta subtract
180-63=117
So 117 degrees for HDG
What is the constant of proportionality in the equation y 5/4 x ?
Answer:
Firest y5/ 4x = y5 - 4 /4X -4
x= y
Can you help me solve pleas
WILL MARK BRAINLIEST!
Identify if the polynomial is a monomial, binomial, trinomial or multinomial.
Answer:
multinomial
Step-by-step explanation:
polynomial are equal to multinomial
Enter an equation for the statement.
The price of a radio r is $40 less than the price of CD player p.
The equation is ____=____
english 2 hhhhhhhheeeelllpppp
The correct answer is C.
Hope this helps !! :)
A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?
First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.
one game costs $________
3 games would make them $_______
Answer:
20.41
Step-by-step explanation:
I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23
Are the shapes simliar?
a
No
b
Yes
c
There is no way to determine this.
Answer:
yes
Step-by-step explanation:
could I get brainliest please
(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)
Answer:
[tex]7.15*10^{-4}[/tex]
Step-by-step explanation:
[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]
I don’t know how do do this please help me cuz this is due before 7
Answer:
That's all
Step-by-step explanation:
you need to replace the values then solve
Answer:
27. 1^-8 = 1/1^8 = 1
28. 2^-5 = 1/2^5 = 1/32
29. -3^-3 = - 1/3^3 = - 1/27
30. 2^-1 = 1/2 = 1/2
31. -3^-4 = - 1/3^4 = - 1/81
32. 5^-3 = 1/5^3 = 1/125
33. 1^-99 = 1/1^99 = 1
34. 1^-3 = 1/1^3 = 1
35. 4^-3 = 1/4^3 = 1/64
36. 2^-3 = 1/2^3 = 1/8
Step-by-step explanation:
Rewrite the expression using the negative exponent rule b^−n=1/b^n
1/2^3
Raise 2 to the power of 3
1/8
The result can be shown in multiple forms, but this is fraction form.
1/8
I hope it helps!!
There are five red, 3 blue and a white marble in a jar. What is the probability of selecting
a white marble, replacing it, then selecting a white marble again?
Answer:
1/81 I think now 100% sure though
solve an equation to find the value of x
Answer:
(7+x)°=180-130
x=50-7
x=43
Easy math problem.....
Answer:
A should be correct.
Step-by-step explanation:
Given, a = 1/2 and b = -1/3
First, let's solve the numerator. Then we have:
1/2 - 1/3
= 1/6
Since we found out our numerator, It is time to find out our denominator.
We have:
1/2 x -1/3
= -1/6
Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.
1/6 divided by -1/6 is equaled to -1.
Therefore, A should be correct.
Kind requests:
Please give me brainliest. Glad to help :)
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Answer:
A. -1
Step-by-step explanation:
1/2 + -1/3
-------------
1/2 x -1/3
First, make 1/2 and -1/3 have the same denominator
1/2 x 3/3 = 3/6
-1/3 x 2/2 = -2/6
Add
3/6 + -2/6 = 1/6
Multiply
1/2 x -1/3
1 x -1
-------
2 x 3
= -1/6
This makes the big equation
1/6
-----
-1/6
Simplify
1/6 / 1/6
-----------
-1/6 / 1/6
1/-1
or -1
Which of the following functions represents an absolute value function?
y = |x - 21
O y = x-2
y = x
Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!
Answer:
30 many shoot basket did he make
Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.
Answer:
d - 20 = r
r = remaining amount
Answer:
l=d-20
Step-by-step explanation:
use l for leftover cookies.
l=d-20
Hope this helps!
Is side length 17, 144, and 145 right triangle?
Yes it is.
Use the Pythagorean Theorem:
a²+b²= c²
So, 17²+144²=145²
289+20736=21025
289+20736=21025
21025=21025
can someone help me please
Answer:
53 degrees
Step-by-step explanation:
m<J = m<Q
Simplify
10-2
103
-100,000
*
1
10
1
10
100,000
RETRY
Answer:
100,000
Step-by-step explanation:
[tex] (\dfrac{10^{-2}}{10^3})^{-1} = [/tex]
When you divide powers with the same base, subtract the exponents.
[tex] = (10^{-2 - 3})^{-1} [/tex]
[tex] = (10^{-5})^{-1} [/tex]
To raise a power to a power, multiply the exponents.
[tex] = 10^{-5 \times (-1)} [/tex]
[tex] = 10^5 [/tex]
[tex] = 100,000 [/tex]
which ratios are equivalent to 7: 15.